C programs for solving the time-dependent Gross–Pitaevskii equation in a fully anisotropic trap

Abstract
We present C programming language versions of earlier published Fortran programs (Muruganandam and Adhikari (2009) [1]) for calculating both stationary and non-stationary solutions of the time-dependent Gross–Pitaevskii (GP) equation. The GP equation describes the properties of dilute Bose–Einstein condensates at ultra-cold temperatures. C versions of programs use the same algorithms as the Fortran ones, involving real- and imaginary-time propagation based on a split-step Crank–Nicolson metho...

Title of program: GP-SCL package, consisting of: (i) imagtime1d, (ii) imagtime2d, (iii) imagtime2d-th, (iv) imagtimecir, (v) imagtime3d, (vi) imagtime3d-th, (vii) imagtimeaxial, (viii) imagtimeaxial-th, (ix) imagtimesph, (x) realtime1d, (xi) realtime2d, (xii) realtime2d-th, (xiii) realtimecir, (xiv) realtime3d, (xv) realtime3d-th, (xvi) realtimeaxial, (xvii) realtimeaxial-th, (xviii) realtimesph
Catalogue Id: AEDU_v2_0

Nature of problem
These programs are designed to solve the time-dependent Gross-Pitaevskii (GP) nonlinear partial differential equation in one-, two- or three-space dimensions with a harmonic, circularly-symmetric, spherically- symmetric, axially-symmetric or fully anisotropic trap. The GP equation describes the properties of a dilute trapped Bose-Einstein condensate.

Versions of this program held in the CPC repository in Mendeley Data
AEDU_v1_0; (i) imagetime1d, (ii) imagetime2d, (iii) imagetime3d, (iv) imagetimecir, (v) imagetimesph, (vi) imagetimeaxial, (vii) realtime1d, (viii) realtime2d, (ix) realtime3d, (x) realtimecir, (xi) realtimesph, (xii) realtimeaxial; 10.1016/j.cpc.2009.04.015
AEDU_v2_0; GP-SCL package, consisting of: (i) imagtime1d, (ii) imagtime2d, (iii) imagtime2d-th, (iv) imagtimecir, (v) imagtime3d, (vi) imagtime3d-th, (vii) imagtimeaxial, (viii) imagtimeaxial-th, (ix) imagtimesph, (x) realtime1d, (xi) realtime2d, (xii) realtime2d-th, (xiii) realtimecir, (xiv) realtime3d, (xv) realtime3d-th, (xvi) realtimeaxial, (xvii) realtimeaxial-th, (xviii) realtimesph; 10.1016/j.cpc.2012.03.022
AEDU_v3_0; GP-SCL-HYB package, consisting of: (i) imagtime3d-hyb, (ii) realtime3d-hyb.; 10.1016/j.cpc.2015.12.006
AEDU_v4_0; BEC-GP-OMP package, consisting of: (i) imag1d, (ii) imag2d, (iii) imag3d, (iv) imagaxi, (v) imagcir, (vi) imagsph, (vii) real1d, (viii) real2d, (ix) real3d, (x) realaxi, (xi) realcir, (xii) realsph.; 10.1016/j.cpc.2016.03.015

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要
我们针对含时格罗斯-皮塔耶夫斯基（Gross-Pitaevskii, GP）方程的定态与非定态解计算问题，提供了早期发表的Fortran程序（Muruganandam与Adhikari, 2009 [1]）的C语言版本。GP方程用于描述超低温环境下稀释玻色-爱因斯坦凝聚体（Bose-Einstein condensate, BEC）的物性。本程序的C语言版本沿用了Fortran版本的全套算法，采用基于分步克兰克-尼科尔森（Crank-Nicolson）方法的实时间与虚时间传播方案……

程序标题：GP-SCL程序包，包含如下组件：(i) imagtime1d、(ii) imagtime2d、(iii) imagtime2d-th、(iv) imagtimecir、(v) imagtime3d、(vi) imagtime3d-th、(vii) imagtimeaxial、(viii) imagtimeaxial-th、(ix) imagtimesph、(x) realtime1d、(xi) realtime2d、(xii) realtime2d-th、(xiii) realtimecir、(xiv) realtime3d、(xv) realtime3d-th、(xvi) realtimeaxial、(xvii) realtimeaxial-th、(xviii) realtimesph

目录编号：AEDU_v2_0

待求解问题
本系列程序用于求解一维、二维或三维空间中，搭配谐波、圆对称、球对称、轴对称或完全各向异性势阱的含时格罗斯-皮塔耶夫斯基（GP）非线性偏微分方程。GP方程用于描述受束缚的稀释玻色-爱因斯坦凝聚体的物性。

孟德尔莱数据（Mendeley Data）中CPC程序库收录的本程序各版本
AEDU_v1_0：包含(i) imagtime1d、(ii) imagtime2d、(iii) imagtime3d、(iv) imagtimecir、(v) imagtimesph、(vi) imagtimeaxial、(vii) realtime1d、(viii) realtime2d、(ix) realtime3d、(x) realtimecir、(xi) realtimesph、(xii) realtimeaxial；DOI：10.1016/j.cpc.2009.04.015
AEDU_v2_0：GP-SCL程序包，包含(i) imagtime1d、(ii) imagtime2d、(iii) imagtime2d-th、(iv) imagtimecir、(v) imagtime3d、(vi) imagtime3d-th、(vii) imagtimeaxial、(viii) imagtimeaxial-th、(ix) imagtimesph、(x) realtime1d、(xi) realtime2d、(xii) realtime2d-th、(xiii) realtimecir、(xiv) realtime3d、(xv) realtime3d-th、(xvi) realtimeaxial、(xvii) realtimeaxial-th、(xviii) realtimesph；DOI：10.1016/j.cpc.2012.03.022
AEDU_v3_0：GP-SCL-HYB程序包，包含(i) imagtime3d-hyb、(ii) realtime3d-hyb；DOI：10.1016/j.cpc.2015.12.006
AEDU_v4_0：BEC-GP-OMP程序包，包含(i) imag1d、(ii) imag2d、(iii) imag3d、(iv) imagaxi、(v) imagcir、(vi) imagsph、(vii) real1d、(viii) real2d、(ix) real3d、(x) realaxi、(xi) realcir、(xii) realsph；DOI：10.1016/j.cpc.2016.03.015

本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2018）